Q-mart is interested in comparing its female and male customers. Q-mart would like to know if the amount of money spent by its female charge customers differs on average from the amount spent by its male charge customers.
To answer this question, an analyst collected random samples of 25 female customers and 22 male customers. Based on these samples on average the 25 women charge customers spent $102.23 and the 22 male charge customers spent $86.46. Moreover, the sample standard deviation of the amount charged by the 25 women was $93.393 and the sample standard deviation of the amount charged by the 22 men was $59.695.
Suppose using a 10% level of significance, you wish to know if there is a sufficient evidence for Q-mart to conclude that on average the amount spent by women charge customers differs ffrom the amount spent by men charge customers.
Assuming that the amounts spent by female and male charge customers at q-mart are normally distributed, based on the procedure advocated by Bluman, what is/are the critical values that you would use to conduct this test of hypothesis?